TSTP Solution File: SWC312-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC312-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:05 EDT 2022
% Result : Unsatisfiable 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 17 unt; 0 def)
% Number of atoms : 131 ( 78 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 144 ( 74 ~; 70 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f289,plain,
$false,
inference(subsumption_resolution,[],[f288,f283]) ).
fof(f283,plain,
nil = app(sk6,sF0),
inference(backward_demodulation,[],[f226,f282]) ).
fof(f282,plain,
nil = sF1,
inference(resolution,[],[f274,f275]) ).
fof(f275,plain,
neq(nil,nil),
inference(trivial_inequality_removal,[],[f272]) ).
fof(f272,plain,
( nil != nil
| neq(nil,nil) ),
inference(backward_demodulation,[],[f261,f269]) ).
fof(f269,plain,
nil = sk1,
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( nil = sk1
| nil != nil ),
inference(superposition,[],[f242,f260]) ).
fof(f260,plain,
nil = sk4,
inference(backward_demodulation,[],[f190,f258]) ).
fof(f258,plain,
nil = sk2,
inference(subsumption_resolution,[],[f257,f249]) ).
fof(f249,plain,
( sk1 = sF1
| nil = sk2 ),
inference(resolution,[],[f241,f197]) ).
fof(f197,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f241,plain,
( ~ neq(sk2,nil)
| sk1 = sF1 ),
inference(backward_demodulation,[],[f240,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f240,plain,
( ~ neq(sk2,nil)
| sk3 = sF1 ),
inference(forward_demodulation,[],[f227,f190]) ).
fof(f227,plain,
( ~ neq(sk4,nil)
| sk3 = sF1 ),
inference(definition_folding,[],[f196,f226,f225]) ).
fof(f225,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f257,plain,
( nil = sk2
| sk1 != sF1 ),
inference(superposition,[],[f256,f226]) ).
fof(f256,plain,
( sk1 != app(sk6,sF0)
| nil = sk2 ),
inference(subsumption_resolution,[],[f255,f251]) ).
fof(f251,plain,
( sk2 = sF2
| nil = sk2 ),
inference(resolution,[],[f244,f197]) ).
fof(f244,plain,
( ~ neq(sk2,nil)
| sk2 = sF2 ),
inference(forward_demodulation,[],[f243,f190]) ).
fof(f243,plain,
( ~ neq(sk4,nil)
| sk2 = sF2 ),
inference(forward_demodulation,[],[f229,f190]) ).
fof(f229,plain,
( sk4 = sF2
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f195,f228,f225]) ).
fof(f228,plain,
app(sF0,sk6) = sF2,
introduced(function_definition,[]) ).
fof(f195,axiom,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f255,plain,
( nil = sk2
| sk2 != sF2
| sk1 != app(sk6,sF0) ),
inference(subsumption_resolution,[],[f254,f248]) ).
fof(f248,plain,
( ssList(sk6)
| nil = sk2 ),
inference(resolution,[],[f197,f238]) ).
fof(f238,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(backward_demodulation,[],[f194,f190]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f254,plain,
( ~ ssList(sk6)
| sk1 != app(sk6,sF0)
| nil = sk2
| sk2 != sF2 ),
inference(superposition,[],[f253,f228]) ).
fof(f253,plain,
! [X0] :
( sk2 != app(sF0,X0)
| nil = sk2
| sk1 != app(X0,sF0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f252,f247]) ).
fof(f247,plain,
( ssItem(sk5)
| nil = sk2 ),
inference(resolution,[],[f197,f239]) ).
fof(f239,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(backward_demodulation,[],[f193,f190]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f252,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk2
| sk2 != app(sF0,X0)
| ~ ssItem(sk5)
| sk1 != app(X0,sF0) ),
inference(superposition,[],[f198,f225]) ).
fof(f198,axiom,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| nil = sk2
| ~ ssItem(X6)
| sk1 != app(X7,cons(X6,nil))
| ~ ssList(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f242,plain,
( nil != sk4
| nil = sk1 ),
inference(backward_demodulation,[],[f192,f191]) ).
fof(f192,axiom,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f261,plain,
( neq(nil,nil)
| nil != sk1 ),
inference(backward_demodulation,[],[f199,f258]) ).
fof(f199,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f274,plain,
( ~ neq(nil,nil)
| nil = sF1 ),
inference(backward_demodulation,[],[f265,f269]) ).
fof(f265,plain,
( sk1 = sF1
| ~ neq(nil,nil) ),
inference(backward_demodulation,[],[f241,f258]) ).
fof(f226,plain,
sF1 = app(sk6,sF0),
introduced(function_definition,[]) ).
fof(f288,plain,
nil != app(sk6,sF0),
inference(subsumption_resolution,[],[f287,f278]) ).
fof(f278,plain,
ssList(sk6),
inference(resolution,[],[f263,f275]) ).
fof(f263,plain,
( ~ neq(nil,nil)
| ssList(sk6) ),
inference(backward_demodulation,[],[f238,f258]) ).
fof(f287,plain,
( ~ ssList(sk6)
| nil != app(sk6,sF0) ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( nil != app(sk6,sF0)
| ~ ssList(sk6)
| nil != nil ),
inference(superposition,[],[f285,f281]) ).
fof(f281,plain,
nil = app(sF0,sk6),
inference(backward_demodulation,[],[f228,f280]) ).
fof(f280,plain,
nil = sF2,
inference(resolution,[],[f267,f275]) ).
fof(f267,plain,
( ~ neq(nil,nil)
| nil = sF2 ),
inference(forward_demodulation,[],[f266,f258]) ).
fof(f266,plain,
( sk2 = sF2
| ~ neq(nil,nil) ),
inference(backward_demodulation,[],[f244,f258]) ).
fof(f285,plain,
! [X0] :
( nil != app(sF0,X0)
| nil != app(X0,sF0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f284,f279]) ).
fof(f279,plain,
ssItem(sk5),
inference(resolution,[],[f264,f275]) ).
fof(f264,plain,
( ~ neq(nil,nil)
| ssItem(sk5) ),
inference(backward_demodulation,[],[f239,f258]) ).
fof(f284,plain,
! [X0] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| nil != app(sF0,X0)
| nil != app(X0,sF0) ),
inference(superposition,[],[f276,f225]) ).
fof(f276,plain,
! [X6,X7] :
( nil != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| nil != app(X7,cons(X6,nil)) ),
inference(subsumption_resolution,[],[f273,f269]) ).
fof(f273,plain,
! [X6,X7] :
( ~ ssItem(X6)
| nil != app(cons(X6,nil),X7)
| ~ ssList(X7)
| nil != sk1
| nil != app(X7,cons(X6,nil)) ),
inference(backward_demodulation,[],[f262,f269]) ).
fof(f262,plain,
! [X6,X7] :
( sk1 != app(X7,cons(X6,nil))
| nil != app(cons(X6,nil),X7)
| nil != sk1
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(backward_demodulation,[],[f200,f258]) ).
fof(f200,axiom,
! [X6,X7] :
( nil != sk1
| sk1 != app(X7,cons(X6,nil))
| ~ ssList(X7)
| sk2 != app(cons(X6,nil),X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC312-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 19:06:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.23/0.49 % (32620)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.49 % (32620)Instruction limit reached!
% 0.23/0.49 % (32620)------------------------------
% 0.23/0.49 % (32620)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.50 % (32628)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.23/0.50 % (32620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.50 % (32620)Termination reason: Unknown
% 0.23/0.50 % (32620)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (32620)Memory used [KB]: 5628
% 0.23/0.50 % (32620)Time elapsed: 0.081 s
% 0.23/0.50 % (32620)Instructions burned: 7 (million)
% 0.23/0.50 % (32620)------------------------------
% 0.23/0.50 % (32620)------------------------------
% 0.23/0.50 % (32636)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.23/0.52 % (32628)First to succeed.
% 0.23/0.52 % (32628)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.52 % (32628)------------------------------
% 0.23/0.52 % (32628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52 % (32628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52 % (32628)Termination reason: Refutation
% 0.23/0.52
% 0.23/0.52 % (32628)Memory used [KB]: 1279
% 0.23/0.52 % (32628)Time elapsed: 0.108 s
% 0.23/0.52 % (32628)Instructions burned: 12 (million)
% 0.23/0.52 % (32628)------------------------------
% 0.23/0.52 % (32628)------------------------------
% 0.23/0.52 % (32612)Success in time 0.154 s
%------------------------------------------------------------------------------